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Finding the Fourth Proportional to 77,980.87, 116,970.29 and 18,816.04

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Solution

The fourth proportional to 77,980.87, 116,970.29 and 18,816.04 is: 28,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.87 : 116,970.29 = 18,816.04 : x
  2. Step 2: Convert to fraction form
    77,980.87/116,970.29 = 18,816.04/x
  3. Step 3: Cross multiply
    77,980.87x = 116,970.29 × 18,816.04
  4. Step 4: Simplify right side
    77,980.87x = 2,200,917,655.45
  5. Step 5: Solve for x
    x = 2,200,917,655.45/77,980.87
  6. Step 6: Final answer
    x = 28,223.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.